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Finding the Third Proportional to 359,902.50 and 833,192.25

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Solution

The third proportional to 359,902.50 and 833,192.25 is: 1,928,881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,902.50 : 833,192.25 = 833,192.25 : x
  2. Step 2: Convert to fraction form
    359,902.50/833,192.25 = 833,192.25/x
  3. Step 3: Cross multiply
    359,902.50x = 833,192.25 × 833,192.25
  4. Step 4: Simplify right side
    359,902.50x = 694,209,325,460.06
  5. Step 5: Solve for x
    x = 694,209,325,460.06/359,902.50
  6. Step 6: Final answer
    x = 1,928,881.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.